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Finding the Fourth Proportional to 30,478.64, 42,060.16 and 17,049.68

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Solution

The fourth proportional to 30,478.64, 42,060.16 and 17,049.68 is: 23,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.64 : 42,060.16 = 17,049.68 : x
  2. Step 2: Convert to fraction form
    30,478.64/42,060.16 = 17,049.68/x
  3. Step 3: Cross multiply
    30,478.64x = 42,060.16 × 17,049.68
  4. Step 4: Simplify right side
    30,478.64x = 717,112,268.75
  5. Step 5: Solve for x
    x = 717,112,268.75/30,478.64
  6. Step 6: Final answer
    x = 23,528.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.